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A new representation of the Lyapunov matrix for the one-dimensional heat equation with delay. / Егоров, Алексей Валерьевич; Маковеева, Полина Евгеньевна.

64th IEEE Conference on Decision and Control, CDC 2025. Institute of Electrical and Electronics Engineers Inc., 2026. стр. 8328-8333 (Proceedings of the IEEE Conference on Decision and Control; Том 2025-December).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Егоров, АВ & Маковеева, ПЕ 2026, A new representation of the Lyapunov matrix for the one-dimensional heat equation with delay. в 64th IEEE Conference on Decision and Control, CDC 2025. Proceedings of the IEEE Conference on Decision and Control, Том. 2025-December, Institute of Electrical and Electronics Engineers Inc., стр. 8328-8333, 64th IEEE Conference on Decision and Control, CDC 2025, Rio de Janeiro, Бразилия, 9/12/25. https://doi.org/10.1109/CDC57313.2025.11312347

APA

Егоров, А. В., & Маковеева, П. Е. (2026). A new representation of the Lyapunov matrix for the one-dimensional heat equation with delay. в 64th IEEE Conference on Decision and Control, CDC 2025 (стр. 8328-8333). (Proceedings of the IEEE Conference on Decision and Control; Том 2025-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC57313.2025.11312347

Vancouver

Егоров АВ, Маковеева ПЕ. A new representation of the Lyapunov matrix for the one-dimensional heat equation with delay. в 64th IEEE Conference on Decision and Control, CDC 2025. Institute of Electrical and Electronics Engineers Inc. 2026. стр. 8328-8333. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC57313.2025.11312347

Author

Егоров, Алексей Валерьевич ; Маковеева, Полина Евгеньевна. / A new representation of the Lyapunov matrix for the one-dimensional heat equation with delay. 64th IEEE Conference on Decision and Control, CDC 2025. Institute of Electrical and Electronics Engineers Inc., 2026. стр. 8328-8333 (Proceedings of the IEEE Conference on Decision and Control).

BibTeX

@inproceedings{28ee9e7094b34e6ba00e8c793c024dd1,
title = "A new representation of the Lyapunov matrix for the one-dimensional heat equation with delay",
abstract = "The Lyapunov–Krasovskii functional method is a well-known tool for analyzing stability and robust stability of time-delay systems. An important element of functionals with a prescribed derivative along the solutions of system is the Lyapunov matrix. This paper investigates the onedimensional heat equation with delay. An explicit form of the Lyapunov–Krasovskii functional with a prescribed derivative is presented. A new representation of the Lyapunov matrix is introduced via an auxiliary function with fewer arguments, along with an explicit formula for its computation.",
author = "Егоров, {Алексей Валерьевич} and Маковеева, {Полина Евгеньевна}",
year = "2026",
month = jan,
day = "12",
doi = "10.1109/CDC57313.2025.11312347",
language = "English",
isbn = "979-8-3315-2627-6",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "8328--8333",
booktitle = "64th IEEE Conference on Decision and Control, CDC 2025",
address = "United States",
note = "64th IEEE Conference on Decision and Control, CDC 2025 ; Conference date: 09-12-2025 Through 12-12-2025",

}

RIS

TY - GEN

T1 - A new representation of the Lyapunov matrix for the one-dimensional heat equation with delay

AU - Егоров, Алексей Валерьевич

AU - Маковеева, Полина Евгеньевна

PY - 2026/1/12

Y1 - 2026/1/12

N2 - The Lyapunov–Krasovskii functional method is a well-known tool for analyzing stability and robust stability of time-delay systems. An important element of functionals with a prescribed derivative along the solutions of system is the Lyapunov matrix. This paper investigates the onedimensional heat equation with delay. An explicit form of the Lyapunov–Krasovskii functional with a prescribed derivative is presented. A new representation of the Lyapunov matrix is introduced via an auxiliary function with fewer arguments, along with an explicit formula for its computation.

AB - The Lyapunov–Krasovskii functional method is a well-known tool for analyzing stability and robust stability of time-delay systems. An important element of functionals with a prescribed derivative along the solutions of system is the Lyapunov matrix. This paper investigates the onedimensional heat equation with delay. An explicit form of the Lyapunov–Krasovskii functional with a prescribed derivative is presented. A new representation of the Lyapunov matrix is introduced via an auxiliary function with fewer arguments, along with an explicit formula for its computation.

UR - https://www.mendeley.com/catalogue/57cebeae-3522-351b-ba21-3907f48451e7/

UR - https://www.mendeley.com/catalogue/57cebeae-3522-351b-ba21-3907f48451e7/

U2 - 10.1109/CDC57313.2025.11312347

DO - 10.1109/CDC57313.2025.11312347

M3 - Conference contribution

SN - 979-8-3315-2627-6

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 8328

EP - 8333

BT - 64th IEEE Conference on Decision and Control, CDC 2025

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 64th IEEE Conference on Decision and Control, CDC 2025

Y2 - 9 December 2025 through 12 December 2025

ER -

ID: 149522001